Question

The sum of 2 numbers is 75. If one exceeds the other by 13, the numbers are ______.

विकल्प

• (45, 30)

• (44, 31)

• (40, 35)

• (41, 34)

Answer 1

The sum of 2 numbers is 75. If one exceeds the other by 13, the numbers are (44, 31).

Explanation:

Let the two numbers be x and x + 13, since one exceeds the other by 13,

Given:

x + (x + 13) = 75

2x + 13 = 75

2x = 75 − 13

2x = 62

x = `62/2`

∴ x = 31

So, the two numbers are:

x = 31

x + 13 = 44

Therefore, the numbers are 44 and 31.